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2242864303008 = 253719175662931
BaseRepresentation
bin100000101000110101001…
…000010100101110100000
321221102020001212202000120
4200220311020110232200
5243221341230144013
64434205125520240
7321020161006350
oct40506510245640
97842201782016
102242864303008
1179521447829a
12302822873080
13133669188744
147a7ab700b60
153d51e626123
hex20a35214ba0

2242864303008 has 96 divisors (see below), whose sum is σ = 7082729418240. Its totient is φ = 607091086080.

The previous prime is 2242864303007. The next prime is 2242864303067. The reversal of 2242864303008 is 8003034682422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2242864303007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87818698 + ... + 87844233.

It is an arithmetic number, because the mean of its divisors is an integer number (73778431440).

Almost surely, 22242864303008 is an apocalyptic number.

2242864303008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242864303008 is an abundant number, since it is smaller than the sum of its proper divisors (4839865115232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242864303008 is a wasteful number, since it uses less digits than its factorization.

2242864303008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175662970 (or 175662962 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 2242864303008 in words is "two trillion, two hundred forty-two billion, eight hundred sixty-four million, three hundred three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 175662931 351325862 526988793 702651724 1053977586 1229640517 1405303448 2107955172 2459281034 2810606896 3337595689 3688921551 4215910344 4918562068 5621213792 6675191378 7377843102 8431820688 9837124136 10012787067 13350382756 14755686204 16863641376 19674248272 20025574134 23363169823 26700765512 29511372408 39348496544 40051148268 46726339646 53401531024 59022744816 70089509469 80102296536 93452679292 106803062048 118045489632 140179018938 160204593072 186905358584 280358037876 320409186144 373810717168 560716075752 747621434336 1121432151504 2242864303008